Unit 4~ 23 days ~Operations and Algebraic Thinking: Patterns in Addition and Multiplication
Curriculum Map Unit 4

In this Unit students will
  • Understand concepts of area and relate it to multiplication and addition.
  • Find the area of a rectangle with whole- number side lengths by tiling it.
  • Multiply side lengths to find areas of rectangles with whole-number side lengths in context of solving real world and mathematical problems.
  • Construct and analyze area models with the same product.
  • Describe and extend numeric patterns.
  • Determine addition and multiplication patterns.
  • Understand the commutative property’s relationship to area.
  • Create arrays and area models to find different ways to decompose a product.
  • Use arrays and area models to develop understanding of the distributive property.
  • Solve problems involving one and two steps and represent these problems using equations with letters "n" or "x" representing the unknown quantity.
  • Create and interpret pictographs and bar graphs.
  • Find area of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts.

Geoboards Link
https://sites.google.com/a/alexandercsd.org/mr-dolph-s-third-grade-classroom/common-core/ccss-math/math-common-core-lessons/lesson-27-understand-area-1

Big Ideas
Instructional Focus and Background Knowledge
Resources, Games, & Problem Solving Bank
(including Technology)






Problem Solving Bank


Homework Documents



Everyday Counts Calendar Math



Warm-ups







Work Time by Standard
3.OA.8. Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.





3.OA.9. Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends





3.MD.4. Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units— whole numbers, halves, or quarters


3.MD.5. Recognize area as an attribute of plane figures and understand concepts of area measurement.
  • A square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area, and can be used to measure area.
  • A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.






3.MD.6. Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).


3.MD.7. Relate area to the operations of multiplication and addition.
  • Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
  • Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
  • Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
  • Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems




Closure